Ilya and Anya each can run at a speed of 7.20mph and walk at a speed of 4.00mph

Question

Ilya and Anya each can run at a speed of 7.20mph and walk at a speed of 4.00mph . They set off together on a route of length 5.00miles . Anya walks half of the distance and runs the other half, while Ilya walks half of the time and runs the other half.

Part A

How long does it take Anya to cover the distance of 5.00miles ? Express your answer numerically, in minutes.

Part B

Find Anya's average speed.

Express Anya's average speed save,Anya numerically, in miles per hour.

Part C

How long does it take Ilya to cover the distance?

Express the time tIlya taken by Ilya numerically, in minutes.

Part D

Now find Ilya's average speed.

Express Ilya's average speed save,Ilya numerically, in miles per hour.

Explanation / Answer

A. Time taken for anya, t=2.5/7.2 +2.5/4=0.972 hours=58.33 min

B. Avg speed= distance /time=5.143 mph

c. Let total time be t for llya.

Then, 4*(t/2) +7.20*(t/2)=5

t=0.893 hrs=53.57 min

D. Avg speed= Distance/time=5/0.893=5.6 mph

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